Hermitian ranks of compact complex manifolds

Abstract

We investigate degenerate special-Hermitian metrics on compact complex manifolds, in particular, degenerate Kähler and locally conformally Kähler metrics on special classes of non-Kähler manifolds.

References in corpus (3)

• Non-Kähler Calabi-Yau manifolds
• On Bott-Chern cohomology of compact complex surfaces
• Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds